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A square pyramid has a base side of 12 cm and a slant height of 10 cm. Find its lateral surface area.

1. 240 cm²
2. 120 cm²
3. 480 cm²
4. 360 cm²

Correct answer: 240 cm²

Solution

The lateral surface area of a square pyramid is given by \(\frac{1}{2} \times \text{perimeter of base} \times \text{slant height}\). Here, perimeter of the square base = \(4 \times 12 = 48\) cm. So, LSA = \(\frac{1}{2} \times 48 \times 10 = 240\) cm².

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